The Commutant of Some Shift Operators

We obtain a characterization for the commutant of certain weighted shift operators of higher multiplicity. The characterization is based on the realization of the operator as multiplication by monomials on weighted Bergman spaces of the unit disk.

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Bibliographic Details
Published in:Complex analysis and operator theory 2020-09, Vol.14 (6), Article 58
Main Authors: Abkar, Ali, Cao, Guangfu, Zhu, Kehe
Format: Article
Language:English
Subjects:
Analysis
Mathematics
Mathematics and Statistics
Multiplication
Operator Theory
Operators
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Description
Summary:We obtain a characterization for the commutant of certain weighted shift operators of higher multiplicity. The characterization is based on the realization of the operator as multiplication by monomials on weighted Bergman spaces of the unit disk.
ISSN:1661-8254
1661-8262
DOI:10.1007/s11785-020-01015-0